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Finding the Fourth Proportional to 9,401.82, 12,944.98 and 7,982.54

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Solution

The fourth proportional to 9,401.82, 12,944.98 and 7,982.54 is: 10,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.82 : 12,944.98 = 7,982.54 : x
  2. Step 2: Convert to fraction form
    9,401.82/12,944.98 = 7,982.54/x
  3. Step 3: Cross multiply
    9,401.82x = 12,944.98 × 7,982.54
  4. Step 4: Simplify right side
    9,401.82x = 103,333,820.65
  5. Step 5: Solve for x
    x = 103,333,820.65/9,401.82
  6. Step 6: Final answer
    x = 10,990.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.